379751537520 has 320 divisors, whose sum is σ = 1317684948480. Its totient is φ = 100522598400.

The previous prime is 379751537449. The next prime is 379751537527. The reversal of 379751537520 is 25735157973.

It is a happy number.

379751537520 is a `hidden beast` number, since 3 + 7 + 9 + 7 + 51 + 537 + 52 + 0 = 666.

It is a super-2 number, since 2×379751537520² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379751537527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 223777312 + ... + 223779008.

It is an arithmetic number, because the mean of its divisors is an integer number (4117765464).

Almost surely, 2^379751537520 is an apocalyptic number.

379751537520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379751537520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658842474240).

379751537520 is an abundant number, since it is smaller than the sum of its proper divisors (937933410960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

379751537520 is a wasteful number, since it uses less digits than its factorization.

379751537520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 6945750, while the sum is 54.

The spelling of 379751537520 in words is "three hundred seventy-nine billion, seven hundred fifty-one million, five hundred thirty-seven thousand, five hundred twenty".